County are unbeaten in nine games ahead of their home clash with a side one point and one place above them in third spot in the Clydesdale Bank Premier League.
The Dingwall side are aiming for their fifth consecutive win while Caley Thistle have won one out of their last eight games and Adams accepts that form puts an added onus on his players.
Adams said: "I think obviously we are the favourites because we are on a run of nine games unbeaten and we have won a lot of them. So that's fair to say.
"We have got that pressure on us. Inverness have had that pressure on them earlier this season and they won the match in the league. We will have to handle that.
"It's something we don't really want but if that's what people are saying then let's see if we can win the match and take it on our shoulders.
"But the players respond to pressure very well and they have done that this season.
"We have come off an excellent result on Tuesday night against Aberdeen.
"We were obviously the better side and just too strong for them."